Cactus cylindricus Ortega is not referable here as the radial spines count is less and it has milky sap.

Britton & Rose in the cactacee IV: 172, 1922 mentions a M cylindricaHitchen that appeared first, published by Forbes (journ. Hort. Tour Germ. 147, 1837) but was so briefly described that it cannot be identified.

Hunt in Bradleya, a new review of Mammillaria names 1128, 1983, says of Mammillaria coronario that the name persist for a member of the M. spinosissima group, but that the plant in question was probably not a Mammillaria at all, being described as five feet tall.That leaves the reference to M.eriacantha as the only name in popular use today.It seems strange that this name persists when clearly the identity of the plant described is extremely vague and unrealiable